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Structure of Partially Ordered Cyclic Semigroups

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Abstract

This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.

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Authors and Affiliations

  1. Institute of Mathematics, University of Rzeszów, Rzeszów, ul, Rejtana 16a, Poland

    Jósef Drewniak

  2. Department of Mathematics, University of Silesia, 40-007 Katowice, ul, Bankowa 14, Poland

    Jolanta Sobera

Authors
  1. Jósef Drewniak
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  2. Jolanta Sobera
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Drewniak, J., Sobera, J. Structure of Partially Ordered Cyclic Semigroups. Czech Math J 53, 777–791 (2003). https://doi.org/10.1023/B:CMAJ.0000024522.41546.5b

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  • DOI: https://doi.org/10.1023/B:CMAJ.0000024522.41546.5b

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